In our previous work, we have studied the properties and structure of QCD vacuum
by use of the Dyson-Schwinger equations (DSE) of the quark propagator
at zero temperature and finite temperature, calculated the various condensation values of quark and gluons,
the quark-gluon mixed condensation values and quark effective mass [1]}, [2]}, [3]}.
Recently studies [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}
have shown that the properties and condensation values of QCD vacuum may change in strong magnetic fields.
So we want to extend the previous work in strong magnetic fields.
In this work, we follows Mueller and the collaborators' previous work [17]},
study the quark propagator in strong magnetic fields at zero temperature,
and use the DSE to study the properties of QCD vacuum, the subtracted quark condensate,
the \(eB\)  dependence of the magnetic moment, spin polarization and magnetic susceptibility.
Based on the constituent quark model, we also study the \(eB\)  dependence of magnetic moments,
magnetic susceptibility of nucleon, try to understand the influence of strong magnetic fields
on the phase transition of QCD. It provides theoretical guidance for searching quark-gluon plasma
in high energy heavy-ion collision experiments.
